I need help calculating P(alarm) from this setup:
This problem is similar to that in this link:
However, the sum of all probabilities in that link is 1.0 as seen below:
In the (cavity, catch, toothache) in that link, P(cavity) can be calculated by adding all values of that row and gives 0.2, by the rule of marginalization:
My problem has a total sum of 4.0, and if I add all rows in the (alarm=T) column, I will get P(alarm) = 1.100, which is greater than 1.0. Can anyone tell me what I am doing wrong?
There is a similar question posted, but there is no answer to follow.
================================================================== edit after Graham Kemp's comment
Actually, this is the problem setup. You are right. I left out some details. how can I solve for P(A) now?